Global Central Limit Theorems for Stationary Markov Chains
Year: 2025
Type: article
Abstract: Let P be a Markov operator on a general state space ( S , Σ) with an invariant probability measure m , assumed to be ergodic. We study conditions which yield that for every centered non-zero f ∈ L 2 ( m ) a non-degenerate annealed CLT and an L 2 -normalized CLT hold.
Source: Annales Mathematicae Silesianae
Author: Michael Lin
Institution: Ben-Gurion University of the Negev
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4410716237